Question

Which set of ordered pairs represents a function?

Answer Attempt 1 out of 2
{(9,8), (-6, -9), (1, -9), (1, 1)}
O {(9,5), (-7,-8), (6,-8), (4, -1)}
O {(8,7), (2,-4), (2,0), (-8,-9)}
O {(6,-9), (-8, 5), (6, 1), (8, -3)}
K

Answer 1

The set of ordered pairs that represents a function is:

{(8,7), (2,-4), (2,0), (-8,-9)}

The other sets of ordered pairs do not represent functions.

Here's why:

* {(9,8), (-6, -9), (1, -9), (1, 1)} does not represent a function because there is no consistent relationship between the first element of each pair.

* {(7, -8), (6, -8), (4, -1)} does not represent a function because there is no consistent relationship between the first element of each pair.

* {(6,-9), (-8, 5), (6, 1), (8, -3)} does not represent a function because there is no consistent relationship between the first element of each pair.

To determine if a set of ordered pairs represents a function, we need to check if each element in the domain (the set of x-values) corresponds to only one element in the range (the set of y-values). In the case of the first set, there is no consistent relationship between the x-values and the y-values, so it does not represent a function.

Explanation: